Vector Algebra Question 333
Question: If a and b are adjacent sides of a rhombus, then
[RPET 2001]
Options:
A) a.b = 0
B) a × b = 0
C) a.a = b.b
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
- $ \because $ $ \mathbf{a},.,\mathbf{a}=|\mathbf{a}||\mathbf{a}|\cos \theta =|\mathbf{a}{{|}^{2}} $ , $ (\because \theta =0^{o}) $ and $ \mathbf{b},.,\mathbf{b}=,|\mathbf{b}||\mathbf{b}|\cos \theta =,|\mathbf{b}{{|}^{2}} $ , (Here $ \theta =0^{o} $ ) Also, since $ \mathbf{a},and,\mathbf{b} $ are sides of rhombus \ $ |\mathbf{a}|,=,|\mathbf{b}| $ . Hence $ \mathbf{a},.,\mathbf{a}=\mathbf{b},.,\mathbf{b}. $
BETA
